The distance D that a spring is stretched by a hanging object varies directly as the weight W of the object. If a 27-kg object s
2 answers:
You might be interested in
____________________________________________________
Answer:
Your answer would be $255
____________________________________________________
Step-by-step explanation:
To solve these kind of problems, what we have to do is find how much of 340 is 25%, and then subtract that number to the original price.
Let's give you some important information in the text:
- 25% off
- $340
With the information above, we can solve our problem.
First, we would need to find how much of 340 is 25%, and to do that, we would multiply 340 by 0.25:
When you solve, you should get 85. But, you're not done yet, we need to find out how much the sales price is, not how much of it is discounted.
In order to find the sales price, we would get our original number (the number it originally cost), and subtract it with the amount of money it's removing (85).
In this case, we would subtract 340 by 85.
Your FINAL answer should be 255
The sales price of the laptop would be $255.
____________________________________________________
Answer:
a) 4x -3y ≥ -24
b) 2x +3y ≥ -12
c) 4x -3y ≤ 12
d) 2x +3y ≤ 24
Step-by-step explanation:
All of the given points are on the axes, so it is useful to know the intercept form of the equation for a line is ...
x/a +y/b = 1 . . . . . . where a is the x-intercept and b is the y-intercept.
<h3>a)</h3>The boundary line for the first side is ...
x/-6 +y/8 = 1
4x -3y = -24 . . . . . . multiply by -24 to put in standard form
The graph shows the quadrilateral is to the right of this line, so its inequality is ...
4x -3y ≥ -24
__
<h3>b)</h3>The boundary line for side 2 has equation ...
x/-6 +y/-4 = 1
2x +3y = -12 . . . . . multiply by -12
The quadrilateral is to the right of this line, as well, so its inequality is ...
2x +3y ≥ -12
__
<h3>c)</h3>We can see from the graph that the x-intercept of the boundary line for side 3 is x=3. The equation for that boundary line is ...
x/3 +y/-4 = 1
4x -3y = 12
The quadrilateral is to the left of this line, so its inequality is ...
4x -3y ≤ 12
__
<h3>d)</h3>Apparently, side 4 is intended to use points already given. We assume it passes through (6, 4) and (0, 8). This boundary is parallel to side 2, so will have the same equation, but with a different constant.
2x +3y = 2(0) +3(8) = 24
The quadrilateral is to the left of this line, so its inequality is ...
2x +3y ≤ 24
__
The second attachment shows a graph of the four inequalities with their shading.
_____
<em>Additional comment</em>
All of the inequalities are written in standard form, so the x-coefficient is positive for all of them. The direction of the inequality symbol can be chosen to select values of x that are greater than or less than those on the boundary line. If the shading is to be to the right, then larger x-values are required, and the inequality will have the form ax + by ≥ c (a > 0). If shading is to the left, then smaller x-values are required, and the inequality symbol points in the other direction.
The figure is a parallelogram, not a rectangle.
